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Constructive Quantum Field Theory II

  • G. Velo
  • A. S. Wightman

Part of the NATO ASI Series book series (NSSB, volume 234)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Constructive Quantum Field Theory from I to II

    1. A. S. Wightman
      Pages 1-14
    2. Roland Seneor
      Pages 15-53
    3. T. Balaban
      Pages 55-68
    4. Krzysztof Gawędzki
      Pages 89-120
    5. Rudolf Haag
      Pages 265-282
    6. Arthur Jaffe, Andrzej Lesniewski
      Pages 283-305
    7. Jeffrey A. Harvey
      Pages 307-325
  3. Seminars

  4. Back Matter
    Pages 343-344

About this book

Introduction

The seventh Ettore Majorana International School of Mathematical Physics was :Jeld at the Centro della Cultura Scientifica Erice. Sicily, 1-15 July 1988. The present volume collects lecture notes on the session which was entitled Con8tructive Quantum Field Theory lI. The II refers to the fact that the first such school in 1973 was devoted ,0 the same subject. The school was a NATO Advanced Study Institute sponsored Jy the Italian Ministry of Scientific and Technological Research and the Regional 3icilian Government. At the time of the 1973 Erice School on Constructive Field Theory, the speakers :ould summarize a decade of effort on the solution of superrenormalizable models in two dimensional space-time leading to the verification of the axioms of relativistic :J. uantum field theory for these examples. The resulting lecture notes have proved ,0 be exceptionally useful and are still in print. In the decade and a half that have ~lapsed since that time, there has been much hard work with the ultimate objective of providing a rigorous mathematical foundation for the quantum field theories in four iimensional space-time that summarize a large fraction of our current understanding )f elementary particle physics: QCD and the electroweak theory. The lecture notes )f the 1988 school record the fact that, although this objective has not been reached, Important progress has been made. The ultraviolet stability of Yang-Mills theory In four dimensions has been treated and renormalizable (not superrenormalizable) models in two dimensional space-time, Gross-Neveu models, have been solved.

Keywords

Gauge theory Renormalization group Soliton geometry linear optimization mathematical physics model verification

Editors and affiliations

  • G. Velo
    • 1
  • A. S. Wightman
    • 2
  1. 1.University of BolognaBolognaItaly
  2. 2.Princeton UniversityPrincetonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-5838-1
  • Copyright Information Springer-Verlag US 1990
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-5840-4
  • Online ISBN 978-1-4684-5838-1
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site